The number 83349
83349 is a composite number with 24 divisors. Its prime factorisation is × . Divisors (24): 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 243, 343, 441, 567, 1029 … 83349.
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How to work it out
- 1
What is special about 83349: a Harshad number: divisible by its digit sum 27.
- 2
83349 is composite. Its prime factorisation is
- 3
The divisors add up to 145600; without 83349 itself that is 62251, so 83349 is deficient (62251 is less than 83349). Euler's totient φ(83349) = 47628 numbers up to 83349 share no factor with it.
- 4
The digits of 83349 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83349 = 3^{5} \times 7^{3} \]83349 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 145600 |
| Euler totient φ(n) | 47628 |
| Square | 6947055801 |
| Cube | 579030153957549 |
| Square root | 288.702269 (= 63√21) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.3349 × |
83349 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and forty-nine |
| Binary (base 2) | 10100010110010101 |
| Octal (base 8) | 242625 |
| Hexadecimal (base 16) | 14595 |
| Base 3 | 11020100000 |
| As time | 83349 seconds = 23 h 9 min 9 s |
Is 83349 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83349 ÷ 3 = 27783) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (83349 ÷ 7 = 11907) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (83349 ÷ 9 = 9261) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83349 a prime number?
No. 83349 = × , so it is divisible by 3.
What are the factors of 83349?
1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 243, 343, 441, 567, 1029, 1323, 1701, 3087, 3969, 9261, 11907, 27783, 83349.
What is 83349 in binary?
10100010110010101 (hexadecimal 14595, octal 242625).
What is the square root of 83349?
About 288.7023, exactly 63√21.
Is 83349 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 83349?
83349 is a Harshad number: divisible by its digit sum 27.